Super instanton counting and localization

Abstract

We study the super instanton solution in the gauge theory with U$(n_{+}|n_{-})$ gauge group. Based on the ADHM construction generalized to the supergroup theory, we derive the instanton partition function from the super instanton moduli space through the equivariant localization. We derive the Seiberg-Witten geometry and its quantization for the supergroup gauge theory from the instanton partition function, and study the connection with classical and quantum integrable systems. We also argue the brane realization of the supergroup quiver gauge theory, and possible connection to the non-supergroup quiver gauge theories.

52 pages; typos corrected

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Cited by in corpus (8)

• A slow review of the AGT correspondence
• Intersecting defects in gauge theory, quantum spin chains, and Knizhnik-Zamolodchikov equations
• Quantum Elliptic Calogero-Moser Systems from Gauge Origami
• Quantum toroidal algebras and solvable structures in gauge/string theory
• Tetrahedron instantons
• Double Quiver Gauge Theory and BPS/CFT Correspondence
• Twisted reduction of quiver W-algebras
• Duality Cascades and Parallelotopes